to return a book to the library on time, Billy needs to read 40 pages every day. However, Billy reads 15 fewer pages than he should each day, and returns the book 6 days late. In how many days was he supposed to read the book?

Answers

Answer 1

Using proportions, it is found that he was supposed to read the book in 10 days.

This question can be solved by proportions, using a inverse rule of three, as when the number of pages read per day increases, the time to finish the book decreases.Reading 40 pages every day, he finishes the book in x days. He read 40 - 15 = 25 pages every day, and finished the book in x + 6 days, hence, the rule of three is:

40 pages - x days

25 pages - x + 6 days

Applying line multiplication, as it is an inverse rule of three:

[tex]40x = 25(x + 6)[/tex]

[tex]40x = 25x + 150[/tex]

[tex]15x = 150[/tex]

[tex]x = \frac{150}{15}[/tex]

[tex]x = 10[/tex]

He was supposed to read the book in 10 days.

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Related Questions

4 ones 4 tenths plus 4 tenths

Answers

Answer:

4 8/10

Step-by-step explanation:

4x1+4x1/10+4x1/10=4+4/10+4/10=4 8/10

Adding 4 ones, 4 tenths and 4 tenths gives 4.8

To add 4 ones, 4 tenths and 4 tenths, we can combine the whole numbers and the decimal parts separately.

4 ones = 4 x 1

4 tenths = 4 x 1/10

So, 4 ones + 4 tenths + 4 tenths

= 4 x 1 + 4 x 1/10 + 4 x 1/10

= 4 + 0.4 + 0.4

= 4+ 0.8

= 4.8

Therefore, when you add 4 ones, 4 tenths and 4 tenths, the result is 4.4.

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i just want to make question of this simplify plz solve question fast​

Answers

Answer:

I believe 100

Step-by-step explanation:

He had 18 then got 32 from his mom leaving him with 50 and tripled it so 150 and he gave 25 to both his sister so 25+25=50 so 150-50=100

please give brainliest

Where do i plot the points? Need help ASAP!

Answers

Answer:

Plot at (8,2)

Step-by-step explanation:

For Geometry: explain why Angle- Angle Troangle Similarity Theorem works

Answers

Answer: To answer your question: If two of the angles of two triangles are the same, the triangles are similar. ... If two of the angles are known, the third can be found by subtracting the two known angles from 180. If the three angles of two triangles are the same, the triangles have the same shape and are similar.

Step-by-step explanation:: I have now explained  to you why the Angle- Angle Triangle Similarity Theorem works i hope Iwas able to help good luck

f(x)=3x+5 and g(x)=2x+1

value of x​

Answers

You can treat x and 2x+1 just as though they are real numbers.

So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2

In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.

which of the following numbers closest to 6? 34, 37, 38, 33.

Answers

33 is the closest number if talking about math but in the question 34 is the number closest to 6 in your question

If the original quantity is 15 and the new quantity is 19, estimate the percent change.

Answers

15 to 19 was about a 27% in increase

Solving the quadratic equations using by completing the square. ​

Answers

Step-by-step explanation:

1-

(x+3)(x+5)=0

2-

(x-3)(x+1)=0

3-

(x-2)(x+2)=0

4-

(x+3)(x-1)=0

5-

(x-4)(x+8)=0

if it is right

please give me a brainlest

Help me please!! This is timed and I’m stuck

Answers

Answer:

D is the correct answer

Step-by-step explanation:

Answer:

B. 13/2

Step-by-step explanation:

Given equation:

2x² + 7x - 15 = 0

It has roots r and s.

We know how to find the sum and product of roots.

Sum of roots:

r + s = -7/2

Product of roots:

rs = -15/2

Use the above two equations to work out the value of r - s:

[tex]r - s = \sqrt{(r - s)^2} =[/tex][tex]\sqrt{(r+s)^2-4rs} =[/tex][tex]\sqrt{(-7/2)^2-4(-15/2)} =[/tex][tex]\sqrt{169/4} =13/2[/tex]

Correct choice is B

What is 9/10 divided by 3/4

Answers

Answer:

1.5

Step-by-step explanation:

Find the reciprocal of the divisor

Reciprocal of  

3

4

:  

4

3

Now, multiply it with the dividend

So,  

9

10

÷  

3

4

=  

9

10

×  

4

3

=  

9 × 4

10 × 3

=  

36

30

After reducing the fraction, the answer is  

6

5

In mixed form: 1

1

5

Answer: 0.075 (decimal form) or (fraction form) 3/40 or 7.5% (percentage form)

Step-by-step explanation:

A mountain climber started at zero elevation. The first day he hiked 10 miles up
the mountain, the second day it got steeper and only hiked 3 miles, the third day he
had to detour and went down 4 miles and the last day he went up 1 mile. How far
did he get up the mountain?

Answers

Answer:

14 miles if that's how far he went up

17miles if you're calculating his distance covered

The distance he hiked up the mountain is 10 miles.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a mountain climber started at zero elevation. On the first day he hiked 10 miles up the mountain, on the second day it got steeper, and only hiked 3 miles, On the third day he had to detour and went down 4 miles, and on the last day, he went up 1 mile.

The total elevation will be calculated as below:-

Elevation  = 10 + 3 + 1 - 4

Elevation = 14 - 4

Elevation = 10 Miles

Therefore, the distance he hiked up the mountain is 10 miles.

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What is the value of x?

Answers

Answer:

x = 9

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

sorry, I cant help... i am not able to see the picture

Step-by-step explanation:

. Write the equation of a line passing through the points (3,-1) and (6,7).
(Hint - Use the Calculator)

Answers

Step-by-step explanation:

the most usual firm of line equation is

y = ax + b

a is the slope of the line and is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-interception (the bake of y when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

the slope a :

x changes by +3 (from 3 to 6)

y changes by +8 (from -1 to 7)

so, the slope is +8/+3 = 8/3

our line equation now looks like

y = (8/3)x + b

let's simply use the first point

-1 = (8/3)×3 + b

-1 = 24/3 + b = 8 + b

-9 = b

and the full line equation is

y = (8/3)x - 9

Nathan has a collection of 4,324 toy cars? Him and his friend Nashon divide the cars into rows on Nathan’s
driveway, and they end up with 46 rows. Each row has the same number of cars in it. How many cars are in each
row?

Answers

4324 / 46 = 94
94 cars

Chelsea has 11 times as many brushes as Monique if they have 60 brushes altogether how many brushes would Chelsea have

Answers

Answer:

Your anwser would be

5.45454545455

Step-by-step explanation:

since Chelsea has 11 times as many brushes as Monique ypo would need to divide 11 from 60 and that gets you 5.4545

Why because now that you have 5.4545mutiply that by 11 and you get 60 since Chelsea has 11 times as many brushes as Monique.

(PICTURE PROVIDED)
A: 1 unit
B: 2 units
C: 3 units
D: 4 units

Answers

Answer:

Looks like 3 units if not try 4 units

Step-by-step explanation:

Hope this helps

A GIRL WANTS TO BUY A DRESS THAT COST 125$ ANDSHE HAS A DISCOUNT OF 15% OFF OF A 5% COUPAWN HOW MUCH DID SHE PAY

Answers

100$ because 125/6 is 20 so then 20 x 5 is 100

Find the cost per roll if a bag of five lunch rolls is $2.50

Answers

[tex]\rule{300}{3}[/tex]

[tex]\text{Hi!}[/tex]

To find the cost per item (or in your case "rolls"), you will first have to divide the cost of the lunch rolls  [tex](2.50)[/tex]  by the amount of lunch rolls there are [tex](5)[/tex].

So in this case, it would look like

[tex] \textbf{$2.50/5} [/tex][tex]\text{$2.50 ÷ 5}[/tex][tex]\text{$2.50 / 5}[/tex][tex]\text{2.50}[/tex] ÷ [tex]\text{5}[/tex]

[tex]\text{=$0.50}[/tex]= [tex]\text{\ 0.50}[/tex]

[tex]\boxed{\$0.50{}}[/tex]

[tex]\rule{300}{3}[/tex]

Solve for q.

14 = 3q + 8

q =

Answers

Answer:

q = 2

Step-by-step explanation:

Move all terms that don't contain q  to the right side and solve.

Answer:

q=2

Step-by-step explanation:

(PICTURE PROVIDED)
HELPPPPPPPPP PLS

Answers

Answer is letter D Six units it is congruent to line DC

On Tuesday, I worked $t 1$ hours and earned $3t-3$ dollars per hour. My friend Andrew worked $3t-5$ hours but only earned $t 2$ dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of $t$

Answers

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

Number of hours that I used to work = 1 hour

My hourly pay =  $3t - 3

My total pay at the end of the day = Number of hours x hourly pay

My total pay at the end of the day = 1 (3t - 3)

My total pay at the end of the day = $ 3t - 3

Number of hours that Andrew used to work = 3t -5 hour

Andrew's hourly pay =  $2

Andrew's total pay at the end of the day = Number of hours x hourly pay

Andrew's total pay at the end of the day = 2 (3t - 5)

Andrew's total pay at the end of the day = $ 6t - 10

At the end of the day, I earned $2 more than Andrew

My total pay = Andrew's total pay + 2

3t - 3   =  6t - 10  +  2

6t  -  3t  =  -3 +10 - 2

3t  =  5

t  =  5/3

[tex]t = 1\frac{2}{3}[/tex]

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

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confused with this question

Answers

Answer:

max profit is 8000

and units sold to obtain max profit is 3000

Step-by-step explanation:

This equation is in general form for a parabola equation

so the vertex represent the maximum profit and units to be sold

General form looks like this

7=a(x-p)²+q

where p and q is the vertex, ie the max point

in this equation

p=3000

q=8000

so max profit is 8000

and units sold to obtain max profit is 3000

A recipe for 15 bran muffins calls for 1 cup of flour. The muffins that can be made varies directly with the amount of flour used. There are 1 1/3 cups of flour available. How many muffins can be made?

Answers

Answer: 35 bran muffins can be made with 2 1/3 cups of flour.

leave a thanks if helped pls <3

HELP PLSSS ITS DUE TMRWW

Answers

Answer:

P=6

Step-by-step explanation:

okay so the problem states that this pentagon has one line of symmetry.

if you know that AE=4x, AB=2x+1, and Bc=x+2, then you know that CD=x+2, and DE=2x+1.

since you know the perimeter is 18 cm, you can make an equation to find x:

4x+2(2x+1)+2(x+2)=18

-->4x+4x+2+2x+4=18

-->10x+6=18

-->10x=12

-->x=1.2

P would be 6

solve pls brainliest

Answers

Answer:

Ture

Step-by-step explanation:

.5/.2 = 2.5

1/.4 = 2.5

1.5/.6 = 2.5

The answers are all the same after we divide each x values to the y values.

Hope this is helpful.

Answer:

True

Step-by-step explanation:

.5/.2 = 3.5

1/.4 = 2.5

1.5/.6 = 2.5

the answer is all the same after we devide each x values to the y values.

A particular plant root grows 3.5 inches per month.How many centimeters is the plant growing each month?

Answers

Answer:1 inch = 2.54 centimeters so the answer is 3.76

Step-by-step explanation:

(1 inch = 2.54 centimeters). 0.73 centimeters 1.38 centimeters 6.04 centimeters 8.89 centimeters unsubscribe · report · tue mathematics

The answer is 8.89 centimeters

Use the Distributive Property to solve the equation.
2(x+5)=20
The solution of the equation is

Answers

Answer:

2x+10=20 so x=5

Step-by-step explanation:

Can someone please give me the (Answers) to this? ... please ...

Answers

Slope is "change in y over change in x",

[1] [tex]\frac{-1 - 1}{-3 - 2}[/tex] = [tex]\frac{-2}{-5}[/tex]=

     () [tex]\frac{2}{5}[/tex]

[2] [tex]\frac{4 - -5}{2 - 4}[/tex]=[tex]\frac{4 +5}{2 - 4}[/tex]

     () [tex]\frac{9}{-2}[/tex]

Have a nice day!

   I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Your mom decides she will give you $8, instead of $5 for each chore. You complete 12 chores. Will you have enough money for the lego set?

Answers

Average price of one Lego set = $20

You get $8 per choresTotal chores=12

Total price

[tex]\\ \sf\longmapsto 12(8)=\$96[/tex]

You have enough price

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